4532424370560 has 512 divisors, whose sum is σ = 16955592192000. Its totient is φ = 1142450749440.

The previous prime is 4532424370553. The next prime is 4532424370561. The reversal of 4532424370560 is 650734242354.

4532424370560 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 42 + 43 + 7 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532424370561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22935856 + ... + 23132624.

It is an arithmetic number, because the mean of its divisors is an integer number (33116391000).

Almost surely, 2^{4532424370560} is an apocalyptic number.

4532424370560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532424370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477796096000).

4532424370560 is an abundant number, since it is smaller than the sum of its proper divisors (12423167821440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4532424370560 is a wasteful number, since it uses less digits than its factorization.

4532424370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196871 (or 196853 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 4532424370560 in words is "four trillion, five hundred thirty-two billion, four hundred twenty-four million, three hundred seventy thousand, five hundred sixty".